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1201114140 = 223547974391
BaseRepresentation
bin100011110010111…
…1000110000011100
310002201002220211220
41013211320300130
54424441123030
6315104013340
741523205332
oct10745706034
93081086756
101201114140
11566aa7916
12296301250
13161ac4635
14b573db52
15706aaa10
hex47978c1c

1201114140 has 96 divisors (see below), whose sum is σ = 3470874624. Its totient is φ = 310179840.

The previous prime is 1201114129. The next prime is 1201114163. The reversal of 1201114140 is 414111021.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 271345 + ... + 275735.

It is an arithmetic number, because the mean of its divisors is an integer number (36154944).

Almost surely, 21201114140 is an apocalyptic number.

1201114140 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1201114140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1735437312).

1201114140 is an abundant number, since it is smaller than the sum of its proper divisors (2269760484).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

1201114140 is a wasteful number, since it uses less digits than its factorization.

1201114140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4547 (or 4545 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 15.

The square root of 1201114140 is about 34657.0936461787. The cubic root of 1201114140 is about 1062.9873425699.

Adding to 1201114140 its reverse (414111021), we get a palindrome (1615225161).

It can be divided in two parts, 120111 and 4140, that added together give a triangular number (124251 = T498).

The spelling of 1201114140 in words is "one billion, two hundred one million, one hundred fourteen thousand, one hundred forty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 47 60 94 97 141 188 194 235 282 291 388 470 485 564 582 705 940 970 1164 1410 1455 1940 2820 2910 4391 4559 5820 8782 9118 13173 13677 17564 18236 21955 22795 26346 27354 43910 45590 52692 54708 65865 68385 87820 91180 131730 136770 206377 263460 273540 412754 425927 619131 825508 851854 1031885 1238262 1277781 1703708 2063770 2129635 2476524 2555562 3095655 4127540 4259270 5111124 6191310 6388905 8518540 12382620 12777810 20018569 25555620 40037138 60055707 80074276 100092845 120111414 200185690 240222828 300278535 400371380 600557070 1201114140